Sharp bounds for Toader-type means in terms of two-parameter means
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Publication:2155570
DOI10.1007/s10473-021-0306-yOpenAlexW3155686413MaRDI QIDQ2155570
Yu-Ming Chu, Yue-Ying Yang, Wei-Mao Qian, Hong-Wei Zhang
Publication date: 15 July 2022
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10473-021-0306-y
Related Items (3)
On the bounds of the perimeter of an ellipse ⋮ Sharp inequalities for the Toader mean of order -1 in terms of other bivariate means ⋮ Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means
Cites Work
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- Sharp bounds for Toader mean in terms of arithmetic, quadratic, and Neuman means
- Optimal combinations bounds of root-square and arithmetic means for Toader mean
- Inequalities for Jacobian elliptic functions and Gauss lemniscate functions
- Bounds for the perimeter of an ellipse
- Bounds for complete elliptic integrals of the second kind with applications
- Optimal inequalities for bounding Toader mean by arithmetic and quadratic means
- Sharp generalized Seiffert mean bounds for Toader mean
- Inequalities between arithmetic-geometric, Gini, and Toader means
- The Schur convexity of Gini mean values in the sense of harmonic mean
- Monotonicity theorems and inequalities for the complete elliptic integrals
- Inequalities and bounds for generalized complete elliptic integrals
- Quadratic transformation inequalities for Gaussian hypergeometric function
- Some mean values related to the arithmetic-geometric mean
- Bounds for symmetric elliptic integrals.
- On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind
- Refinements of transformation inequalities for zero-balanced hypergeometric functions
- Optimal Lehmer mean bounds for the Toader mean
- Asymptotical bounds for complete elliptic integrals of the second kind
- A double inequality for bounding Toader mean by the centroidal mean
- Monotonicity, convexity and inequalities involving the generalized elliptic integrals
- Sharp power mean inequalities for the generalized elliptic integral of the first kind
- Approximation for the complete elliptic integral of the first kind
- Inequalities and bounds for elliptic integrals
- On approximating the Toader mean by other bivariate means
- Sharp Landen transformation inequalities for hypergeometric functions, with applications
- Optimal bounds for a Toader-type mean in terms of one-parameter quadratic and contraharmonic means
- Inequalities involving generalized Jacobian elliptic functions
- The best bounds for Toader mean in terms of the centroidal and arithmetic means
- Inequalities for the generalized trigonometric, hyperbolic and Jacobian elliptic functions
- A Monotonicity Property Involving 3F2 and Comparisons of the Classical Approximations of Elliptical Arc Length
- Monotonicity properties and bounds involving the complete elliptic integrals of the first kind
- Notes on the complete elliptic integral of the first kind
- Inequalities for generalized trigonometric and hyperbolic functions with one parameter
- Monotonicity and inequalities involving zero-balanced hypergeometric function
- A double inequality for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean
- Sharp bounds for Toader mean in terms of contraharmonic mean with applications
- Monotonicity properties and bounds for the complete \(p\)-elliptic integrals
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